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203225664 = 2632514217
BaseRepresentation
bin11000001110011…
…11101001000000
3112011101221012110
430013033221000
5404011210124
632055455320
75015250435
oct1407175100
9464357173
10203225664
11a47964a4
1258087540
1333146595
141cdc1b8c
1512c95029
hexc1cfa40

203225664 has 56 divisors (see below), whose sum is σ = 539971488. Its totient is φ = 67456000.

The previous prime is 203225657. The next prime is 203225669. The reversal of 203225664 is 466522302.

It is not an unprimeable number, because it can be changed into a prime (203225669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46084 + ... + 50300.

It is an arithmetic number, because the mean of its divisors is an integer number (9642348).

Almost surely, 2203225664 is an apocalyptic number.

203225664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269985744).

203225664 is an abundant number, since it is smaller than the sum of its proper divisors (336745824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203225664 is a wasteful number, since it uses less digits than its factorization.

203225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 203225664 is about 14255.7239030503. The cubic root of 203225664 is about 587.9307614340.

Adding to 203225664 its reverse (466522302), we get a palindrome (669747966).

The spelling of 203225664 in words is "two hundred three million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 2008 3012 4016 4217 6024 8032 8434 12048 12651 16064 16868 24096 25302 33736 48192 50604 67472 101208 134944 202416 269888 404832 809664 1058467 2116934 3175401 4233868 6350802 8467736 12701604 16935472 25403208 33870944 50806416 67741888 101612832 203225664